306272016 has 150 divisors (see below), whose sum is σ = 921328122. Its totient is φ = 98219520.

The previous prime is 306271997. The next prime is 306272023. The reversal of 306272016 is 610272603.

It is a happy number.

306272016 is a `hidden beast` number, since 3 + 0 + 627 + 20 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 72182016 + 234090000 = 8496^2 + 15300^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1089796 + ... + 1090076.

Almost surely, 2^306272016 is an apocalyptic number.

306272016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306272016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460664061).

306272016 is an abundant number, since it is smaller than the sum of its proper divisors (615056106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306272016 is a wasteful number, since it uses less digits than its factorization.

306272016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 306272016 is about 17500.6290172668. The cubic root of 306272016 is about 674.0660268095.

It can be divided in two parts, 3062 and 72016, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 306272016 in words is "three hundred six million, two hundred seventy-two thousand, sixteen".